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Simplifying 3b + -7 + 9b = 10b + 9 Reorder the terms: -7 + 3b + 9b = 10b + 9 Combine like terms: 3b + 9b = 12b -7 + 12b = 10b + 9 Reorder the terms: -7 + 12b = 9 + 10b Solving -7 + 12b = 9 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -7 + 12b + -10b = 9 + 10b + -10b Combine like terms: 12b + -10b = 2b -7 + 2b = 9 + 10b + -10b Combine like terms: 10b + -10b = 0 -7 + 2b = 9 + 0 -7 + 2b = 9 Add '7' to each side of the equation. -7 + 7 + 2b = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 2b = 9 + 7 2b = 9 + 7 Combine like terms: 9 + 7 = 16 2b = 16 Divide each side by '2'. b = 8 Simplifying b = 8
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